GCD of 224, 714, 675 Calculator

Given Input numbers are 224, 714, 675

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 224, 714, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 714, 675 is 1.

Therefore, GCD of numbers 224, 714, 675 is 1

Given Input Data is 224, 714, 675

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(224, 714) = 11424

GCD(224, 714) = ( 224 x 714 ) / 11424

GCD(224, 714) = 159936 / 11424

GCD(224, 714) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 675

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(14, 675) = 9450

GCD(14, 675) = ( 14 x 675 ) / 9450

GCD(14, 675) = 9450 / 9450

GCD(14, 675) = 1

GCD of 224, 714, 675 is 1

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1. What is the GCD of 224, 714, 675?

GCD of 224, 714, 675 is 1

2. Where do I get the detailed procedure to find GCD of 224, 714, 675?

You can find a detailed procedure to find GCD of 224, 714, 675 on our page.

3. How to find GCD of 224, 714, 675 on a calculator?

You can find the GCD of 224, 714, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.